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Sonja [21]
3 years ago
8

A random sample of n=25 individuals is selected from a population with μ=20 , and a treatment is administered to each individual

in the sample. After treatment, the sample mean is found to be M= 22.2 with SS= 384.
a. How much difference is there between the mean for the treated sample and the mean for the original population? (Note: In a hypothesis test, this value forms the numerator of the r statistic.)

b. If there is no treatment effect, how much difference is expected between the sample mean and its population mean? That is, find the standard error for M. (Note: In a hypothesis test, this value is the denominator of the t statistic.)

c. Based on the sample data, does the treatment have a significant effect? Use a two-tailed test with α= 0.05.

Mathematics
1 answer:
zheka24 [161]3 years ago
4 0

Answer:

a) how much difference in number of mean is 2.2

b) standard error of sample mean = 0.8

c) the test statstistical value is greater than the critical value ,hence we reject the null hypothesis. we can conclude that the treatment thus have a significant effect

Step-by-step explanation:

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Step-by-step explanation:

Required

Determine the relationship between given lines

(a)

y = -\frac{2}{5}x + 3

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An equation written in form: y=mx + b has the slope:

m \to slope

So, in both equations:

m_1 = -\frac{2}{5}

m_2 = \frac{2}{5}

For both lines to be parallel

m_1 = m_2

This is false in this case, because:

-\frac{2}{5} \ne \frac{2}{5}

For both lines to be perpendicular

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This is false in this case, because:

-\frac{2}{5} * \frac{2}{5} \ne -1

(b)

5y + 2x = -10

and

-5x + 2y = 4

Write equations in form: y=mx + b

5y + 2x = -10

5y = -2x +10

Divide by 5

y = -\frac{2}{5}x +2

-5x + 2y = 4

2y = 5x + 4

Divide by 2

y = \frac{5}{2}x + 2

In both equations:

m_1 = -\frac{2}{5}

m_2 = \frac{5}{2}

For both lines to be parallel

m_1 = m_2

This is false in this case, because:

-\frac{2}{5} \ne \frac{5}{2}

For both lines to be perpendicular

m_1 * m_2 = -1

This is true in this case, because:

-\frac{2}{5} * \frac{5}{2} = -1

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